Exploring the Segment Addition Postulate

The video tutorial introduces the segment addition postulate, explaining that if a point B is between points A and C, then the length of AB plus the length of BC equals the length of AC. The tutorial covers segment notation, provides examples, and solves problems using the postulate. It also discusses the concept of midpoints and congruent segments, explaining how a midpoint divides a segment into two equal parts. The lesson encourages students to draw diagrams for better understanding and to practice problem-solving skills.

What does the notation AB without a line segment on top represent?

• The angle at point B

• The segment AB

• The length of segment AB

• The midpoint of segment AB

According to the Segment Addition Postulate, if B is between A and C, what is the relationship between AB, BC, and AC?

• AB = AC + BC

• AC = AB - BC

• AB = BC + AC

• AB + BC = AC

If the length of segment AB is 2 inches and the length of segment BC is 3 inches, what is the length of segment AC?

• 5 inches

• 6 inches

• 3 inches

• 2 inches

Given AC = 14 cm and BC = 11.4 cm, what is the length of AB?

• 4.6 cm

• 3.6 cm

• 2.6 cm

• 5.6 cm

In a problem where RS + ST = RT, if RS = 2x + 7, ST = 28, and RT = 4x, what is the value of x?

• 18.5

• 16.5

• 15.5

• 17.5

What is the length of segment RT if x = 17.5 and RT = 4x?

• 70

• 75

• 65

• 60

What does the midpoint of a segment do?

• Divides the segment into two congruent parts

• Shortens the segment

• Divides the segment into two unequal parts

• Extends the segment

If B is the midpoint of segment AC, and AB = 5x and BC = 3x + 4, what is the value of x?

• 1

• 2

• 3

• 4

If AB = 10 units and BC = 10 units, what is the length of AC?

• 20 units

• 25 units

• 15 units

• 10 units

What does it mean if two segments are congruent?

• They are parallel

• They have the same length

• They form a right angle

• They have different lengths